Existence of Solution for a Class of Quasilinear Systems

Existence of Solution for a Class of Quasilinear Systems

This paper proves the existence of nontrivial solution for a class of quasilinear systems on bounded domains in ℝ , N ≥ 2, whose nonlinearity has a double criticality. The proof is based on a linking theorem without the Palais-Smale condition.

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Veröffentlicht in:Advanced nonlinear studies 2009-08, Vol.9 (3), p.537-564
Hauptverfasser: Alves, Claudianor O., Soares, Sérgio H. M.
Format: Artikel
Sprache:eng
Schlagworte:
Critical growth
Variational methods
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Zusammenfassung:This paper proves the existence of nontrivial solution for a class of quasilinear systems on bounded domains in ℝ , N ≥ 2, whose nonlinearity has a double criticality. The proof is based on a linking theorem without the Palais-Smale condition.
ISSN:1536-1365
2169-0375
DOI:10.1515/ans-2009-0307